Advise please.

[Ramirez]

Hello,
I'm new here and hope to get some good advice. 
I work at a school district with 4 supervisors.  Just recently I was assigned one more supervisor who had her administrative assistant doing duties that I haven't done before.  GK, her former assistant used to work closely with our data analyst, SH. But now my new supervisor is housed in the same building with SH.
SH has told me I will be doing the same duties GK did for my new boss.  I asked my director if I should be doing one of the duties and she told me I would only do part of the project.   I told SH what our director said and she still says I should do it.  I have to say we have both been professional but don't know what to do next.  My director doesn't know that SH has told me I would be doing more work that I feel are her duties. 
I have the project part that my director says I shouldn't do on my desk.
I plan to talk to my director but don't know what to say.   
Any advice is helpful. B

[Atlanta Z3]

I would ask for a meeting with your boss and SH to clarify what your responsibilities are to be.  Let both know you are willing to assist on any project but need help setting priorities, as you will be learning the needs of a new supervisor.  If you don't want to do this face to face an email may suffice.  Send the email to your boss and cc SH asking for clarification on the specific project duties.  Hopefully your boss will respond to the email, meaning you will have documentation of their expectations.  SH should understand your professionalism, she may not be aware of your time constraints if GK only supported one director.